Created by David Granda
15 questions
12th Grade
Math
Updated Oct 2026
DMS to Decimal is a Grade 12 mathematics worksheet that develops fluency converting between decimal degrees and degrees, minutes, and seconds (DMS). The 15 multiple-choice questions include conversions in both directions, including decimal-degree values with fractional parts, DMS values with minutes and seconds, and a negative angle. Students also identify that positive angles are measured counterclockwise and negative angles clockwise from standard position. This free printable worksheet gives students repeated practice selecting accurate conversions from plausible alternatives, helping them distinguish the roles of minutes and seconds in angular measurement and preserve the direction of signed angles. Use it for guided practice, independent review, or a quick check of conversion accuracy. A complete answer key is included for efficient checking and feedback.
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WorksheetsAnswer Key173º 27' 32.4"
163.4078º
309.0117º
-345 7' 12''
85.308
18°26′24′′
233°9′36′′
110°2′24′′
41°1′48′′
13.04°
264.31°
133.64°
29.51
This Grade 12 mathematics worksheet covers converting decimal degrees to degrees–minutes–seconds and converting DMS values back to decimal degrees. Its 15 multiple-choice questions also check whether students identify counterclockwise measurement for positive angles and clockwise measurement for negative angles, so they practice both calculation and signed-angle conventions.
Model one conversion in each direction before students begin: separate the whole-degree part, convert the fractional part to minutes and seconds, and divide minutes and seconds by 60 when converting DMS to decimal degrees. Then use the multiple-choice alternatives to discuss why an answer with misplaced minutes, seconds, or decimal values is incorrect, including the negative-angle item as a short check of direction conventions.
Watch for students treating decimal minutes or decimal seconds as whole units, or reading a decimal degree such as 18.44° as 18°44′ instead of converting the fractional degree. Students may also reverse the conversion factors for minutes and seconds, round too early, or lose the negative sign when converting −345.12°. The direction questions may reveal confusion between clockwise and counterclockwise measurement from standard position.
On Wayground, assign this worksheet either as a printable PDF or as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support schools that want to reduce screen time while maintaining practice and assessment.
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the conversion choices and angle notation are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to these multiple-choice conversion items.
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